| Third Hankel Determinant for Ma-Minda Bi-univalent Functions |
| Received:September 05, 2018 Revised:October 26, 2018 |
| Key Words:
analytic function Hankel determinant Ma-Minda bi-univalent function upper bound
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11561001; 11271045), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No.NJYT-18-A14), the Natural Science Foundation of Inner Mongolia (Grant No.2018MS01026), the Higher School Foundation of Inner Mongolia (Grant Nos.NJZY17300; NJZY17301) and the Natural Science Foundation of Chifeng of Inner Mongolia. |
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| Abstract: |
| In this paper, we investigate the third Hankel determinant $H_{3}(1)$ for the class $H^{\mu}_{\sigma}(\lambda, \varphi)~(\lambda\geq1,~\mu\geq1)$ of Ma-Minda bi-univalent functions in the open unit disk $\mathbb{D}=\{z:|z|<1\}$ and obtain the upper bound of the above determinant $H_{3}(1)$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.04.004 |
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